scholarly journals THE EXTENDED Λ-METHOD FOR CONTROLLED LAGRANGIAN SYSTEMS

2005 ◽  
Vol 38 (1) ◽  
pp. 592-597 ◽  
Author(s):  
Dong Eui Chang
Keyword(s):  
Lagrangian Systems

Onset of instability for a class of nonlinear lagrangian systems

1982 ◽  
Vol 91 (8) ◽  
pp. 378-380 ◽  
Author(s):  
E.W. Laedke ◽  
K.H. Spatschek ◽  
M. Wilkens
Keyword(s):  
Lagrangian Systems ◽  
Nonlinear Lagrangian

Global minimizers for Tonelli Lagrangians on the 2-torus

2015 ◽  
Vol 07 (02) ◽  
pp. 261-291 ◽  
Author(s):  
Jan Philipp Schröder
Keyword(s):  
Energy Levels ◽  
Critical Value ◽  
Lagrangian Systems ◽  
Global Minimizers ◽  
Fixed Energy

We study action-minimizing orbits in Tonelli Lagrangian systems on the 2-torus on fixed energy levels above Mañé's strict critical value. Our work generalizes the results of Morse, Hedlund and Bangert on minimal geodesics in Riemannian 2-tori. The techniques in the proofs involve classical variational ones, as well as the theories of Mather, Mañé and Fathi, which allow the step from reversible to non-reversible dynamics.

Resilient Leader Tracking for Networked Lagrangian Systems Under DoS Attacks

2021 ◽  
Author(s):  
Xiaolei Li ◽  
Changyun Wen ◽  
Jiange Wang ◽  
Ci Chen ◽  
Chao Deng
Keyword(s):  
Lagrangian Systems ◽  
Dos Attacks ◽  
Networked Lagrangian Systems

Distributed optimal coordination for multiple heterogeneous Euler–Lagrangian systems

Automatica ◽  
2017 ◽  
Vol 79 ◽  
pp. 207-213 ◽  
Author(s):  
Yanqiong Zhang ◽  
Zhenhua Deng ◽  
Yiguang Hong
Keyword(s):  
Lagrangian Systems ◽  
Optimal Coordination
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